An apple farmer is deciding how to use each day's harvest. She can use the harvest to produce apple cider or apple juice for the
2 answers:
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Answer:
<em>Pool 1 leaks faster than pool 2.</em>
Step-by-step explanation:
<u>Rates of change</u>
The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.
We are given two rates of change for two pools that are leaking. The first one loses 2/3 gallon in 15 minutes, and the other loses 3/4 gallon in 20 minutes.
To compare them, we are required to express time in hours. Recall one hour has 60 minutes, or equivalently, one minute has 1/60 hours. Converting both times, we have:
15 minutes = 15/60 = 1/4 hours
20 minutes = 20/60 = 1/3 hours
Now compute both rates of change:
Pool 1:
Pool 2:
Comparing both ratios, it's clear pool 1 leaks faster than pool 2.
2) if it refers to the gray shaded boxes out of all the boxes, then count them 5 rows × 5 columns = 5×5 = 25
The total is 10 rows × 10 columns = 10×10 = 100
Fraction: 25/100 ->> divide both by 25 = 1/4
Decimal: 0.25
Ratio: 25 grey boxes: (100-25) white boxes
= 25:75 ->> divide both by 25 = 1:3
Percent: means "out of 100" so we know it's 25 out of 100 = 25%
3) 27 is 75% of what??
let's make x = what we don't know
Now cross-multiply: multiply top left with bottom right and make equal to the bottom left times the top right
27×100 = 75x
75x = 2700
75x/75 = 2700/75
x = 36
The total is 10 rows × 10 columns = 10×10 = 100
Fraction: 25/100 ->> divide both by 25 = 1/4
Decimal: 0.25
Ratio: 25 grey boxes: (100-25) white boxes
= 25:75 ->> divide both by 25 = 1:3
Percent: means "out of 100" so we know it's 25 out of 100 = 25%
3) 27 is 75% of what??
let's make x = what we don't know
Now cross-multiply: multiply top left with bottom right and make equal to the bottom left times the top right
27×100 = 75x
75x = 2700
75x/75 = 2700/75
x = 36